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Finding the Third Proportional to 31,651.25 and 50,119.50

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Solution

The third proportional to 31,651.25 and 50,119.50 is: 79,363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,651.25 : 50,119.50 = 50,119.50 : x
  2. Step 2: Convert to fraction form
    31,651.25/50,119.50 = 50,119.50/x
  3. Step 3: Cross multiply
    31,651.25x = 50,119.50 × 50,119.50
  4. Step 4: Simplify right side
    31,651.25x = 2,511,964,280.25
  5. Step 5: Solve for x
    x = 2,511,964,280.25/31,651.25
  6. Step 6: Final answer
    x = 79,363.83

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.